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Finding the Fourth Proportional to 11,493.96, 17,240.59 and 3,174.48

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Solution

The fourth proportional to 11,493.96, 17,240.59 and 3,174.48 is: 4,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.96 : 17,240.59 = 3,174.48 : x
  2. Step 2: Convert to fraction form
    11,493.96/17,240.59 = 3,174.48/x
  3. Step 3: Cross multiply
    11,493.96x = 17,240.59 × 3,174.48
  4. Step 4: Simplify right side
    11,493.96x = 54,729,900.21
  5. Step 5: Solve for x
    x = 54,729,900.21/11,493.96
  6. Step 6: Final answer
    x = 4,761.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.